Breaking the Google cycle is a great start. If you are able to disassociate your anxiety from the process, it's a great tool. Sadly most of us can't, so it's simply inflammatory to our fear. There's a horror story out there for just about every symptom you can name, and they're all available on the Internet!
I'm not sure if anyone is ever "cured" of health anxiety, but you can certainly learn to live with it and control it, rather than it controlling you. I've lived with it for the better part of 20 years now. I still have my off days, but can cope well on the whole. Personally I never went to counselling or any other kind of therapy, I simply kept plugging away on my own until I found methods that worked for me. I think professional help can certainly fast-track the whole process though, so you're absolutely doing the right thing in seeking it out.
You're also right that there are people out there with no concern for their health at all - it's not even on their radar. I remember my cousin had a huge, bleeding sore on his arm when we were in our 20s. I was horrified when I saw it, and about 30 different conditions sprang to mind, none of them good. He told me he's just been slapping Polysporin on it for the last 4 months and was "considering" going to the Doctor
Fortunately for him it turned out something rare, but benign (I forget what it was). If there is a silver lining to living with HA, it's that we're mostly on top of our health issues more than the average person, so are statistically more likely to find potentially serious things earlier and have better outcomes. Not true for everyone of course, but you definitely minimise risks by being responsible with your health and well-being.
Good luck for tomorrow, let us know how it goes.